HADAMARD AND FEJER-HADAMARD TYPE INEQUALITIES FOR CONVEX AND RELATIVE CONVEX FUNCTIONS VIA AN EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION

被引：6
|
作者：
Farid, Ghulam [1 ]
Mishra, Vishnu Narayan [2 ,3 ]
Mehmood, Sajid [4 ]
机构：
[1] COMSATS Univ Islamabad, Dept Math, Attock Campus, Attock, Pakistan
[2] Indira Gandhi Natl Tribal Univ, Dept Math, Amarkantak 484887, Madhya Pradesh, India
[3] L 1627 Awadh Puri Colony,Phase 2, Ayodhya 224001, Uttar Pradesh, India
[4] Govt Boys Primary Sch Sherani, Attock, Pakistan
来源：
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2019年 / 17卷 / 05期
关键词：
Convex functions; Hadamad inequality; Fejer-Hadamard inequality; Mittag-Leffler function; Fractional integral operators;
D O I：
10.28924/2291-8639-17-2019-892
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we will prove the Hadamard and the Fejer-Hadamard type integral inequalities for convex and relative convex functions due to an extended generalized Mittag-Leffler function. These results contain several fractional integral inequalities for the well known fractional integral operators.
引用
收藏
页码：892 / 903
页数：12
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